TSTP Solution File: GRP710+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:40:28 EDT 2022
% Result : Theorem 0.52s 0.71s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 23 ( 22 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(2,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(3,axiom,
mult(X,mult(Y,mult(Y,Z))) = mult(mult(mult(X,Y),Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(4,axiom,
mult(X,i(X)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(5,axiom,
mult(i(X),X) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(6,negated_conjecture,
( mult('SKOLEMAAAV1',X) != 'SKOLEMAAAV2'
| mult(Y,'SKOLEMAAAV4') != 'SKOLEMAAAV3' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(12,plain,
mult(mult(X,X),Y) = mult(X,mult(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,3,theory(equality)]),2,theory(equality)]) ).
cnf(13,plain,
mult(X,mult(Y,Y)) = mult(mult(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,3,theory(equality)]),1,theory(equality)]) ).
cnf(14,plain,
mult(X,Y) = mult(mult(mult(X,Y),Y),i(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,4,theory(equality)]),1,theory(equality)]) ).
cnf(15,plain,
mult(i(X),mult(X,mult(X,Y))) = mult(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,5,theory(equality)]),2,theory(equality)]) ).
cnf(20,plain,
mult(X,i(Y)) = mult(mult(mult(X,i(Y)),i(Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,5,theory(equality)]),1,theory(equality)]) ).
cnf(39,plain,
mult(mult(X,X),i(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,4,theory(equality)]),1,theory(equality)]) ).
cnf(60,plain,
mult(i(X),mult(X,X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,5,theory(equality)]),2,theory(equality)]) ).
cnf(84,plain,
X = mult(mult(mult(X,i(Y)),i(Y)),mult(Y,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,60,theory(equality)]),1,5,theory(equality)]) ).
cnf(109,plain,
X = i(i(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,39,theory(equality)]),2,4,theory(equality)]) ).
cnf(122,plain,
mult(mult(i(X),i(X)),mult(X,mult(X,Y))) = mult(i(X),mult(X,Y)),
inference('PARAMODULATE',[status(thm)],[12,15,theory(equality)]) ).
cnf(319,plain,
X = mult(mult(X,i(Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,20,theory(equality)]),84,theory(equality)]) ).
cnf(322,plain,
mult('SKOLEMAAAV1',X) != 'SKOLEMAAAV2',
inference('UR-RESOLVE',[status(thm)],[6,319]) ).
cnf(338,plain,
mult(mult(X,i(Y)),mult(Y,mult(Y,Z))) = mult(mult(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[3,319,theory(equality)]) ).
cnf(342,plain,
X = mult(i(Y),mult(Y,X)),
inference('REWRITE',[status(thm)],[122,2,5,338,theory(equality)]) ).
cnf(356,plain,
X = mult(Y,mult(i(Y),X)),
inference('PARAMODULATE',[status(thm)],[342,109,theory(equality)]) ).
cnf(379,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[322,356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 20:10:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:10:09
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-13T20:10:09
% 0.19/0.49
% 0.19/0.49 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.19/0.49 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.19/0.49 ; Recognized possible right inverse assertion (= (|mult| ?X (|i| ?X)) |unit|).
% 0.52/0.71 ; Recognized possible left inverse assertion (= (|mult| (|i| ?X) ?X) |unit|).
% 0.52/0.71
% 0.52/0.71 #||
% 0.52/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.71 % SZS output start Refutation
% See solution above
% 0.52/0.71 ||#
% 0.52/0.71
% 0.52/0.71 ; Summary of computation:
% 0.52/0.71 ; 1206 formulas have been input or derived (from 82 formulas).
% 0.52/0.71 ; 379 (31%) were retained. Of these,
% 0.52/0.71 ; 274 (72%) were simplified or subsumed later,
% 0.52/0.71 ; 105 (28%) are still being kept.
% 0.52/0.71 ;
% 0.52/0.71 ; Run time in seconds excluding printing time:
% 0.52/0.71 ; 0.002 1% Read assertion file (1 call)
% 0.52/0.71 ; 0.001 0% Assert (6 calls)
% 0.52/0.71 ; 0.028 12% Process new row (1,130 calls)
% 0.52/0.71 ; 0.005 2% Resolution (162 calls)
% 0.52/0.71 ; 0.020 8% Paramodulation (81 calls)
% 0.52/0.71 ; 0.008 3% Condensing (418 calls)
% 0.52/0.71 ; 0.008 3% Forward subsumption (418 calls)
% 0.52/0.71 ; 0.009 4% Backward subsumption (173 calls)
% 0.52/0.71 ; 0.000 0% Clause clause subsumption (593 calls)
% 0.52/0.71 ; 0.063 27% Forward simplification (1,081 calls)
% 0.52/0.71 ; 0.019 8% Backward simplification (379 calls)
% 0.52/0.71 ; 0.045 19% Ordering (5,925 calls)
% 0.52/0.71 ; 0.000 0% Sortal reasoning (32 calls)
% 0.52/0.71 ; 0.000 0% Purity testing (1 call)
% 0.52/0.71 ; 0.029 12% Other
% 0.52/0.71 ; 0.237 Total
% 0.52/0.71 ; 0.239 Real time
% 0.52/0.71 ;
% 0.52/0.71 ; Term-hash-array has 742 terms in all.
% 0.52/0.71 ; Feature-vector-row-index has 0 entries (168 at peak, 173 added, 173 deleted).
% 0.52/0.71 ; Feature-vector-row-index has 1 node (840 at peak, 887 added, 886 deleted).
% 0.52/0.71 ; Retrieved 666 possibly forward subsuming rows in 418 calls.
% 0.52/0.71 ; Retrieved 68 possibly backward subsumed rows in 173 calls.
% 0.52/0.71 ; Path-index has 346 entries (603 at peak, 782 added, 436 deleted).
% 0.52/0.71 ; Path-index has 694 nodes (825 at peak, 903 added, 209 deleted).
% 0.52/0.71 ; Trie-index has 346 entries (603 at peak, 782 added, 436 deleted).
% 0.52/0.71 ; Trie-index has 1,492 nodes (2,727 at peak, 3,466 added, 1,974 deleted).
% 0.52/0.71 ; Retrieved 16,010 generalization terms in 6,677 calls.
% 0.52/0.71 ; Retrieved 1,353 instance terms in 295 calls.
% 0.52/0.71 ; Retrieved 5,800 unifiable terms in 652 calls.
% 0.52/0.71 ;
% 0.52/0.71 ; The agenda of rows to process has 27 entries:
% 0.52/0.71 ; 2 with value 9 1 with value 18 2 with value 24
% 0.52/0.71 ; 1 with value 12 3 with value 19 1 with value 25
% 0.52/0.71 ; 3 with value 14 1 with value 20 1 with value 27
% 0.52/0.71 ; 2 with value 15 1 with value 21 1 with value 28
% 0.52/0.71 ; 1 with value 16 1 with value 22 1 with value 29
% 0.52/0.71 ; 2 with value 17 2 with value 23 1 with value 33
% 0.52/0.71 ; The agenda of rows to give has 80 entries:
% 0.52/0.71 ; 6 with value (4 17) 11 with value (4 25) 1 with value (4 31)
% 0.52/0.71 ; 5 with value (4 19) 5 with value (4 26) 1 with value (4 33)
% 0.52/0.71 ; 5 with value (4 20) 4 with value (4 27) 2 with value (4 34)
% 0.52/0.71 ; 13 with value (4 21) 2 with value (4 28) 2 with value (4 37)
% 0.52/0.71 ; 2 with value (4 22) 3 with value (4 29) 2 with value (4 38)
% 0.52/0.71 ; 1 with value (4 23) 7 with value (4 30) 2 with value (4 47)
% 0.52/0.71 ; 6 with value (4 24)
% 0.52/0.71 Evaluation took:
% 0.52/0.71 0.239 seconds of real time
% 0.52/0.71 0.214196 seconds of user run time
% 0.52/0.71 0.0252 seconds of system run time
% 0.52/0.71 [Run times include 0.006 seconds GC run time.]
% 0.52/0.71 0 calls to %EVAL
% 0.52/0.71 0 page faults and
% 0.52/0.71 14,959,864 bytes consed.
% 0.52/0.71 :PROOF-FOUND
% 0.52/0.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T20:10:09
% 0.52/0.72 :PROOF-FOUND
% 0.52/0.72 *
%------------------------------------------------------------------------------